Question

What is the ratio of the areas of two similar triangles, if the corresponding sides of the two similar triangles are 5:7?

Answer 1

25:49 is the are of the triangle

Answer 2

Given that : The ratio of corresponding sides of two similar triangles = 5:7

Then,

$\frac{area \: of \: first \: triangle}{area \: of \: second \: triangle} = {( \frac{5}{7}) }^{2} = \frac{25}{49}$

So, the ratio of the area of similar triangles will be 25:49